106 citations · 495 across the 26 of their papers we have counts for
3 papers · 2 filters
Shape Optimization Using the Cut Finite Element Method
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We present a cut finite element method for shape optimization in the case of linear elasticity. The elastic domain is defined by a level-set function, and the evolution of the doma…
Analysis of Finite Element Methods for Vector Laplacians on Surfaces
Peter Hansbo, Mats G. Larson, Karl Larsson
We develop a finite element method for the vector Laplacian based on the covariant derivative of tangential vector fields on surfaces embedded in . Closely related op…
A Cut Finite Element Method for the Bernoulli Free Boundary Value Problem
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We develop a cut finite element method for the Bernoulli free boundary problem. The free boundary, represented by an approximate signed distance function on a fixed background mesh…